Answer:
-21x^12
Explanation:
To express the given expression in simplest radical form, let's simplify each term separately.
Starting with the first term, -√63x^7, we can simplify the square root of 63.
The prime factorization of 63 is 3 × 3 × 7. Since there is no perfect square factor, we can't simplify the square root any further. So, we have -√(3 × 3 × 7) x^7.
Now, let's move on to the second term, -4x√7x^5. We can simplify the square root of 7.
Since 7 is a prime number, there is no perfect square factor. So, we have -4x√7 x x^5.
Now, let's multiply the two terms together. Multiplying the numbers outside the radicals gives us -√(3 × 3 × 7) x^7 × -4x√7 x x^5.
Multiplying the x's together gives us x^7 x x^5 = x^(7+5) = x^12.
Multiplying the numbers under the radicals together gives us √(3 × 3 × 7) x √7 = √(3^2 x 7) x √7 = 3√7 x √7 = 3 x 7 = 21.
Combining these results, we have -21x^12.